Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(3): 865-870

Online first article February 27, 2018      Printed May 31, 2018

https://doi.org/10.4134/BKMS.b170341

Copyright © The Korean Mathematical Society.

Meromorphic functions sharing some finite sets IM

Manabu Shirosaki

Osaka Prefecture University

Abstract

We show that if two nonconstant meromorphic functions $f$ and $g$ on $\mathbb C$ sharing some finite sets IM, then there is a nonconstant rational function $R(z)$ such that $R(f)=R(g)$.

Keywords: uniqueness theorem, sharing sets, Nevanlinna theory

MSC numbers: Primary 30D35